| Exam Board | OCR |
|---|---|
| Module | AS Pure (AS Pure Mathematics) |
| Year | 2017 |
| Session | Specimen |
| Marks | 5 |
| Topic | Travel graphs |
| Type | Distance from velocity-time graph |
| Difficulty | Moderate -0.8 This is a straightforward kinematics question requiring basic graph interpretation skills. Part (a) asks for acceleration from a velocity-time graph (gradient calculation), which is routine. Part (b) requires understanding distance vs displacement and comparing areas, but the comparison is qualitative ('more than five times') rather than requiring exact calculation. Both parts are standard AS-level mechanics applications with no problem-solving insight needed. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02c Interpret kinematic graphs: gradient and area |
The diagram below shows the velocity-time graph of a car moving along a straight road, where $v$ m s$^{-1}$ is the velocity of the car at time $t$ s after it passes through the point $A$.
\includegraphics{figure_9}
\begin{enumerate}[label=(\alph*)]
\item Calculate the acceleration of the car at $t = 6$. [2]
\item Jasmit says "The distance travelled by the car during the first 20 seconds of the car's motion is more than five times its displacement from $A$ after the first 20 seconds of the car's motion".
Give evidence to support Jasmit's statement. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR AS Pure 2017 Q9 [5]}}